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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Summation equation ： ウィキペディア英語版 Summation equation In mathematics, a summation equation or discrete integral equation is an equation in which an unknown function appears under a summation sign. The theories of summation equations and integral equations can be unified as ''integral equations on time scales''〔(Volterra integral equations on time scales: Basic qualitative and quantitative results with applications to initial value problems on unbounded domains ), Tomasia Kulik, Christopher C. Tisdell, September 3, 2007〕 using time scale calculus. A summation equation compares to a difference equation as an integral equation compares to a differential equation. The Volterra summation equation is: :$x(t)\; =\; f(t)\; +\; \backslash sum\_^n\; k(t,\; s,\; x(s))$ where ''x'' is the unknown function, and s, a, t are integers, and f, k are known functions. ==References== 〔 *(Summation equations or discrete integral equations ) 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Summation equation」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.